Q: Macbook won't start up immediately after battery dying

When I plug in my Macbook after its battery died, it won't start up immediately.

Every single time I have to press power button if I want it to start up. When I do this, it makes a really strange noise. (it's comparable with the sound your Macbook makes when you put in a DVD or something) Afterwards I can see my desktop but the screen is white/transparant and at the same time a progress bar appears. When this bar is full, my Macbook shuts down again and I have to do it all over again. The second time around my Macbook will start working eventually. The white, transparant screen disappears and after a minute or so, I can move my mouse again.

Is there anything that can be done to resolve this?

Thank you